Question

Complete the square f(x)x^2+6-16

Answer 1

`x^2+6x=16\\</p><p>x^2+6x-16=0\\</p><p>solving for variable'x'\\</p><p>add 16 to each side of the equation\\</p><p>x^2+6x+16-16=0+16\\</p><p>x^2+6x=16\\</p><p>the x term is 6x.take half its cofficient(3),square it (9)and it to both side\\</p><p>add 9 to each side of the equation\\</p><p>6x+9+x^2=16+9\\</p><p>x^2+6x+9=25\\`
`factor a ferfect square of the right side 5\\</p><p>this problem into teo subproblem by (x+3) equal to 5 and -5\\</p><p>sub problem 1\\</p><p>x+3=5\\</p><p>x=5-3\\</p><p>x=2\\</p><p>sub problem 2\\</p><p>x+3=-5\\</p><p>x=-5-3\\</p><p>x=-8\\</p><p>the solution to the problem is based on the solution from the sub problem is\\</p><p>x={2,-8}`